Let $\int _ { - 1 } ^ { 1 } f ( x ) d x = 4$

Multiple Choice

Let $\int _ { - 1 } ^ { 1 } f ( x ) d x = 4$ , and $\int _ { 1 } ^ { 4 } f ( x ) d x = 3,$ then $\int _ { - 1 } ^ { 1 } g ( x ) d x = - 6,$ is

A) $- \frac { 49 } { 11 }$
B) $- \frac { 49 } { 6 }$
C) $\frac { 49 } { 6 }$
D) $\frac { 49 } { 11 }$
E) 7